{
  "annotation_id": "88994897-e4a6-434f-92ea-9793f71c05a5",
  "date_created": "2026-03-02T18:02:50.965000Z",
  "date_modified": "2026-03-02T18:02:50.965000Z",
  "file_hash": "5efda41a4d4db15aa97e0774243e936427b38868de9f70063a2f5b3b717c7630",
  "private": false,
  "record": {
    "abstract": "The Bethe Ansatz is a method that is used in quantum integrable models in\norder to solve them explicitly. This method is explained here in a general\nframework, which applies to 1D quantum spin chains, 2D statistical lattice\nmodels (vertex models) and relativistic field theories with 1 space dimension\nand 1 time dimension. The connection with quantum groups is expounded. Several\napplications are then presented. Finite size corrections are calculated via two\nmethods: The Non-Linear Integral Equations, which are applied to the study of\nthe states of the affine Toda model with imaginary coupling, and their\ninterpolation between the high energy (ultra-violet) and low energy (infra-red)\nregions; and the Thermodynamic Bethe Ansatz Equations, along with the\nassociated Fusion Equations, which are used to determine the thermodynamic\nproperties of the generalized multi-channel Kondo model. The latter is then\nstudied in more detail, still using the Bethe Ansatz and quantum groups, so as\nto characterize the spectrum of the low energy excitations.",
    "arxiv_id": "solv-int/9810007",
    "authors": [
      "P. Zinn-Justin"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Quelques applications de l\u0027Ansatz de Bethe (Some applications of the   Bethe Ansatz)",
    "url": "https://arxiv.org/abs/solv-int/9810007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ff58fc8f-f678-4850-a2be-7f472befa443",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}